Stability Theorems In Geometry And Analysis

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Stability Theorems in Geometry and Analysis

Author : Yu.G. Reshetnyak
Publisher : Springer Science & Business Media
ISBN 13 : 9780792331186
Total Pages : 414 pages
Book Rating : 4.3/5 (311 download)

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Book Synopsis Stability Theorems in Geometry and Analysis by : Yu.G. Reshetnyak

Download or read book Stability Theorems in Geometry and Analysis written by Yu.G. Reshetnyak and published by Springer Science & Business Media. This book was released on 1994-09-30 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is one of the first monographs to deal with the metric theory of spatial mappings and incorporates results in the theory of quasi-conformal, quasi-isometric and other mappings. The main subject is the study of the stability problem in Liouville's theorem on conformal mappings in space, which is representative of a number of problems on stability for transformation classes. To enable this investigation a wide range of mathematical tools has been developed which incorporate the calculus of variation, estimates for differential operators like Korn inequalities, properties of functions with bounded mean oscillation, etc. Results obtained by others researching similar topics are mentioned, and a survey is given of publications treating relevant questions or involving the technique proposed. This volume will be of great value to graduate students and researchers interested in geometric function theory.

Stability Theorems in Geometry and Analysis

Author : Yu.G. Reshetnyak
Publisher : Springer Science & Business Media
ISBN 13 : 9401583609
Total Pages : 406 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Stability Theorems in Geometry and Analysis by : Yu.G. Reshetnyak

Download or read book Stability Theorems in Geometry and Analysis written by Yu.G. Reshetnyak and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is one of the first monographs to deal with the metric theory of spatial mappings and incorporates results in the theory of quasi-conformal, quasi-isometric and other mappings. The main subject is the study of the stability problem in Liouville's theorem on conformal mappings in space, which is representative of a number of problems on stability for transformation classes. To enable this investigation a wide range of mathematical tools has been developed which incorporate the calculus of variation, estimates for differential operators like Korn inequalities, properties of functions with bounded mean oscillation, etc. Results obtained by others researching similar topics are mentioned, and a survey is given of publications treating relevant questions or involving the technique proposed. This volume will be of great value to graduate students and researchers interested in geometric function theory.

Geometric Function Theory and Non-linear Analysis

Author : Tadeusz Iwaniec
Publisher : Clarendon Press
ISBN 13 : 9780198509295
Total Pages : 576 pages
Book Rating : 4.5/5 (92 download)

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Book Synopsis Geometric Function Theory and Non-linear Analysis by : Tadeusz Iwaniec

Download or read book Geometric Function Theory and Non-linear Analysis written by Tadeusz Iwaniec and published by Clarendon Press. This book was released on 2001 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Iwaniec (math, Syracuse U.) and Martin (math, U. of Auckland) explain recent developments in the geometry of mappings, related to functions or deformations between subsets of the Euclidean n-space Rn and more generally between manifolds or other geometric objects. Material on mappings intersects with aspects of differential geometry, topology, partial differential equations, harmonic analysis, and the calculus of variations. Chapters cover topics such as conformal mappings, stability of the Mobius group, Sobolev theory and function spaces, the Liouville theorem, even dimensions, Picard and Montel theorems in space, uniformly quasiregular mappings, and quasiconformal groups. c. Book News Inc.

The Interaction of Analysis and Geometry

Author : Victor I. Burenkov
Publisher : American Mathematical Soc.
ISBN 13 : 0821840606
Total Pages : 354 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Interaction of Analysis and Geometry by : Victor I. Burenkov

Download or read book The Interaction of Analysis and Geometry written by Victor I. Burenkov and published by American Mathematical Soc.. This book was released on 2007 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on talks given at the International Conference on Analysis and Geometry in honor of the 75th birthday of Yurii Reshetnyak (Novosibirsk, 2004), this title includes topics such as geometry of spaces with bounded curvature in the sense of Alexandrov, quasiconformal mappings and mappings with bounded distortion, and nonlinear potential theory."

Geometric Nonlinear Functional Analysis

Author : Yoav Benyamini
Publisher : American Mathematical Soc.
ISBN 13 : 0821808354
Total Pages : 503 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Geometric Nonlinear Functional Analysis by : Yoav Benyamini

Download or read book Geometric Nonlinear Functional Analysis written by Yoav Benyamini and published by American Mathematical Soc.. This book was released on 2000 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic study of geometric nonlinear functional analysis. The main theme is the study of uniformly continuous and Lipschitz functions between Banach spaces. This study leads to the classification of Banach spaces and of their important subsets in the uniform and Lipschitz categories.

Structural Stability And Morphogenesis

Author : Rene Thom
Publisher : CRC Press
ISBN 13 : 0429972652
Total Pages : 303 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Structural Stability And Morphogenesis by : Rene Thom

Download or read book Structural Stability And Morphogenesis written by Rene Thom and published by CRC Press. This book was released on 2018-03-05 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 2018. Routledge is an imprint of Taylor & Francis, an Informa company.

Stability Theorems in Geometry and Analysis

Author : Yu.G. Reshetnyak
Publisher : Springer
ISBN 13 : 9789401583619
Total Pages : 394 pages
Book Rating : 4.5/5 (836 download)

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Book Synopsis Stability Theorems in Geometry and Analysis by : Yu.G. Reshetnyak

Download or read book Stability Theorems in Geometry and Analysis written by Yu.G. Reshetnyak and published by Springer. This book was released on 2014-10-09 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Equadiff 2003 - Proceedings Of The International Conference On Differential Equations

Author : Freddy Dumortier
Publisher : World Scientific
ISBN 13 : 9814480916
Total Pages : 1180 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Equadiff 2003 - Proceedings Of The International Conference On Differential Equations by : Freddy Dumortier

Download or read book Equadiff 2003 - Proceedings Of The International Conference On Differential Equations written by Freddy Dumortier and published by World Scientific. This book was released on 2005-02-23 with total page 1180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive volume contains the state of the art on ODE's and PDE's of different nature, functional differential equations, delay equations, and others, mostly from the dynamical systems point of view.A broad range of topics are treated through contributions by leading experts of their fields, presenting the most recent developments. A large variety of techniques are being used, stressing geometric, topological, ergodic and numerical aspects.The scope of the book is wide, ranging from pure mathematics to various applied fields. Examples of the latter are provided by subjects from earth and life sciences, classical mechanics and quantum-mechanics, among others.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings)• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical Sciences

Space Mappings with Bounded Distortion

Author : I_Uri_ Grigor_evich Reshetni_ak
Publisher : American Mathematical Soc.
ISBN 13 : 9780821898215
Total Pages : 384 pages
Book Rating : 4.8/5 (982 download)

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Book Synopsis Space Mappings with Bounded Distortion by : I_Uri_ Grigor_evich Reshetni_ak

Download or read book Space Mappings with Bounded Distortion written by I_Uri_ Grigor_evich Reshetni_ak and published by American Mathematical Soc.. This book was released on 1989-12-31 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for researchers and students concerned with questions in analysis and function theory. The author provides an exposition of the main results obtained in recent years by Soviet and other mathematicians in the theory of mappings with bounded distortion, an active direction in contemporary mathematics. The mathematical tools presented can be applied to a broad spectrum of problems that go beyond the context of the main topic of investigation. For a number of questions in the theory of partial differential equations and the theory of functions with generalized derivatives, this is the first time they have appeared in an internationally distributed monograph.

Handbook of Complex Analysis

Author : Reiner Kuhnau
Publisher : Elsevier
ISBN 13 : 0080495176
Total Pages : 876 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Handbook of Complex Analysis by : Reiner Kuhnau

Download or read book Handbook of Complex Analysis written by Reiner Kuhnau and published by Elsevier. This book was released on 2004-12-09 with total page 876 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric Function Theory is that part of Complex Analysis which covers the theory of conformal and quasiconformal mappings. Beginning with the classical Riemann mapping theorem, there is a lot of existence theorems for canonical conformal mappings. On the other side there is an extensive theory of qualitative properties of conformal and quasiconformal mappings, concerning mainly a prior estimates, so called distortion theorems (including the Bieberbach conjecture with the proof of the Branges). Here a starting point was the classical Scharz lemma, and then Koebe's distortion theorem. There are several connections to mathematical physics, because of the relations to potential theory (in the plane). The Handbook of Geometric Function Theory contains also an article about constructive methods and further a Bibliography including applications eg: to electroxtatic problems, heat conduction, potential flows (in the plane). · A collection of independent survey articles in the field of GeometricFunction Theory · Existence theorems and qualitative properties of conformal and quasiconformal mappings · A bibliography, including many hints to applications in electrostatics, heat conduction, potential flows (in the plane).

Introduction to Foliations and Lie Groupoids

Author : Ieke Moerdijk
Publisher :
ISBN 13 : 9780511071539
Total Pages : 173 pages
Book Rating : 4.0/5 (715 download)

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Book Synopsis Introduction to Foliations and Lie Groupoids by : Ieke Moerdijk

Download or read book Introduction to Foliations and Lie Groupoids written by Ieke Moerdijk and published by . This book was released on 2003 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a quick introduction to the theory of foliations and Lie groupoids. It is based on the authors' extensive teaching experience and contains numerous examples and exercises making it ideal either for independent study or as the basis of a graduate course.

Nonlinear Analysis and Optimization

Author : Boris S. Mordukhovich
Publisher : American Mathematical Soc.
ISBN 13 : 1470417367
Total Pages : 330 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Nonlinear Analysis and Optimization by : Boris S. Mordukhovich

Download or read book Nonlinear Analysis and Optimization written by Boris S. Mordukhovich and published by American Mathematical Soc.. This book was released on 2016-02-26 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the IMU/AMS Special Session on Nonlinear Analysis and Optimization, held from June 16-19, 2014, at the Second Joint International Meeting of the Israel Mathematical Union (IMU) and the American Mathematical Society (AMS), Bar-Ilan and Tel-Aviv Universities, Israel, and the Workshop on Nonlinear Analysis and Optimization, held on June 12, 2014, at the Technion-Israel Institute of Technology. The papers in this volume cover many different topics in Nonlinear Analysis and Optimization, including: Taylor domination property for analytic functions in the complex disk, mappings with upper integral bounds for p -moduli, multiple Fourier transforms and trigonometric series in line with Hardy's variation, finite-parameter feedback control for stabilizing damped nonlinear wave equations, implicit Euler approximation and optimization of one-sided Lipschitz differential inclusions, Bolza variational problems with extended-valued integrands on large intervals, first order singular variational problem with nonconvex cost, gradient and extragradient methods for the elasticity imaging inverse problem, discrete approximations of the entropy functional for probability measures on the plane, optimal irrigation scheduling for wheat production, existence of a fixed point of nonexpansive mappings in uniformly convex Banach spaces, strong convergence properties of m-accretive bounded operators, the Reich-Simons convex analytic inequality, nonlinear input-output equilibrium, differential linear-quadratic Nash games with mixed state-control constraints, and excessive revenue models of competitive markets.

The Journal of Geometric Analysis

Author :
Publisher :
ISBN 13 :
Total Pages : 738 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis The Journal of Geometric Analysis by :

Download or read book The Journal of Geometric Analysis written by and published by . This book was released on 1999 with total page 738 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Convex Geometry

Author : Bozzano G Luisa
Publisher : Elsevier
ISBN 13 : 0080934390
Total Pages : 803 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Handbook of Convex Geometry by : Bozzano G Luisa

Download or read book Handbook of Convex Geometry written by Bozzano G Luisa and published by Elsevier. This book was released on 2014-06-28 with total page 803 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Convex Geometry, Volume A offers a survey of convex geometry and its many ramifications and relations with other areas of mathematics, including convexity, geometric inequalities, and convex sets. The selection first offers information on the history of convexity, characterizations of convex sets, and mixed volumes. Topics include elementary convexity, equality in the Aleksandrov-Fenchel inequality, mixed surface area measures, characteristic properties of convex sets in analysis and differential geometry, and extensions of the notion of a convex set. The text then reviews the standard isoperimetric theorem and stability of geometric inequalities. The manuscript takes a look at selected affine isoperimetric inequalities, extremum problems for convex discs and polyhedra, and rigidity. Discussions focus on include infinitesimal and static rigidity related to surfaces, isoperimetric problem for convex polyhedral, bounds for the volume of a convex polyhedron, curvature image inequality, Busemann intersection inequality and its relatives, and Petty projection inequality. The book then tackles geometric algorithms, convexity and discrete optimization, mathematical programming and convex geometry, and the combinatorial aspects of convex polytopes. The selection is a valuable source of data for mathematicians and researchers interested in convex geometry.

Conformally Invariant Metrics and Quasiconformal Mappings

Author : Parisa Hariri
Publisher : Springer Nature
ISBN 13 : 3030320685
Total Pages : 504 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Conformally Invariant Metrics and Quasiconformal Mappings by : Parisa Hariri

Download or read book Conformally Invariant Metrics and Quasiconformal Mappings written by Parisa Hariri and published by Springer Nature. This book was released on 2020-04-11 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the theory of quasiconformal and quasiregular mappings in the euclidean n-dimensional space, (where n is greater than 2). There are many ways to develop this theory as the literature shows. The authors' approach is based on the use of metrics, in particular conformally invariant metrics, which will have a key role throughout the whole book. The intended readership consists of mathematicians from beginning graduate students to researchers. The prerequisite requirements are modest: only some familiarity with basic ideas of real and complex analysis is expected.

Geometry III

Author : Yu.D. Burago
Publisher : Springer Science & Business Media
ISBN 13 : 3662027518
Total Pages : 263 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Geometry III by : Yu.D. Burago

Download or read book Geometry III written by Yu.D. Burago and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: A volume devoted to the extremely clear and intrinsically beautiful theory of two-dimensional surfaces in Euclidean spaces. The main focus is on the connection between the theory of embedded surfaces and two-dimensional Riemannian geometry, and the influence of properties of intrinsic metrics on the geometry of surfaces.

Complex Analysis and Applications

Author : Yuefei Wang
Publisher : World Scientific
ISBN 13 : 9812568689
Total Pages : 349 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Complex Analysis and Applications by : Yuefei Wang

Download or read book Complex Analysis and Applications written by Yuefei Wang and published by World Scientific. This book was released on 2006 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This valuable collection of articles presents the latest methods and results in complex analysis and its applications. The present trends in complex analysis reflected in the book are concentrated in the following research directions: Clifford analysis, complex dynamical systems, complex function spaces, complex numerical analysis, qusiconformal mapping, Riemann surfaces, Teichmller theory and Klainian groups, several complex variables, and value distribution theory.